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Finding the Fourth Proportional to 5,618, 8,430.84 and 1,970

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Solution

The fourth proportional to 5,618, 8,430.84 and 1,970 is: 2,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618 : 8,430.84 = 1,970 : x
  2. Step 2: Convert to fraction form
    5,618/8,430.84 = 1,970/x
  3. Step 3: Cross multiply
    5,618x = 8,430.84 × 1,970
  4. Step 4: Simplify right side
    5,618x = 16,608,754.80
  5. Step 5: Solve for x
    x = 16,608,754.80/5,618
  6. Step 6: Final answer
    x = 2,956.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.